Pith Number

pith:44UHDV4A

pith:2017:44UHDV4ACSRGHKVDFK2N6QJFKV

not attested not anchored not stored refs pending

Which groups are amenable to proving exponent two for matrix multiplication?

Chris Umans, Henry Cohn, Jonah Blasiak, Joshua A. Grochow, Thomas Church

arxiv:1712.02302 v1 · 2017-12-06 · math.GR · cs.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44UHDV4ACSRGHKVDFK2N6QJFKV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

An Improved Construction of Variety-Evasive Subspace Families

Receipt and verification

First computed	2026-05-18T00:28:38.545517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72871d78014a263aaa32ab4df41255558ab996671cc4ec908f7bc8e2d0b12e5

Aliases

arxiv: 1712.02302 · arxiv_version: 1712.02302v1 · doi: 10.48550/arxiv.1712.02302 · pith_short_12: 44UHDV4ACSRG · pith_short_16: 44UHDV4ACSRGHKVD · pith_short_8: 44UHDV4A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/44UHDV4ACSRGHKVDFK2N6QJFKV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e72871d78014a263aaa32ab4df41255558ab996671cc4ec908f7bc8e2d0b12e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad270d223d24c6ab1104fba428a2081d1433b61cc61710333acc75af4a990bef",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-06T17:38:48Z",
    "title_canon_sha256": "eb5422ceeb503176892d8fd1bbf635c23da87fe0ca64038885979856f1894d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02302",
    "kind": "arxiv",
    "version": 1
  }
}